Journal
NEURAL NETWORKS
Volume 135, Issue -, Pages 212-224Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.neunet.2020.12.015
Keywords
Fractional calculus; Complex-variable networks; Nonlinear coupling; Finite-time cluster synchronization; Non-decomposition method
Funding
- Excellent Doctor Innovation Program of Xinjiang University, PR China [XJUBSCX-201927]
- National Natural Science Foundation of People's Republic of China [U1703262, 61866036, 61963033]
- Innovation Team Program of Universities in Xinjiang Uyghur Autonomous Region [XJEDU2017T001]
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This paper focuses on finite-time cluster synchronization of fractional-order complex variable networks with nonlinear coupling using the non-decomposition method. Two control strategies relevant to complex-valued sign functions are designed, and criteria are deduced to ensure finite-time cluster synchronization. The setting time is effectively estimated based on significant properties of fractional-order Caputo derivation and Mittag-Leffler functions, and theoretical results are verified through numerical examples.
This paper is primarily concentrated on finite-time cluster synchronization of fractional-order complex variable networks with nonlinear coupling by utilizing the non-decomposition method. Firstly, two control strategies are designed which are relevant to complex-valued sign functions. Thereafter, by employing fractional-order stability theory and complex function theory, several criteria are deduced to ensure finite-time cluster synchronization under the framework within a new norm consisting of absolute values for real and imaginary components. Furthermore, the setting time is effectively estimated based on some significant properties of fractional-order Caputo derivation and Mittag-Leffler functions. Lastly, two numerical examples are given to verify the effectiveness of theoretical results. (c) 2020 Elsevier Ltd. All rights reserved.
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